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Finding the Third Proportional to 21,672 and 32,508

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Solution

The third proportional to 21,672 and 32,508 is: 48,762

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672 : 32,508 = 32,508 : x
  2. Step 2: Convert to fraction form
    21,672/32,508 = 32,508/x
  3. Step 3: Cross multiply
    21,672x = 32,508 × 32,508
  4. Step 4: Simplify right side
    21,672x = 1,056,770,064
  5. Step 5: Solve for x
    x = 1,056,770,064/21,672
  6. Step 6: Final answer
    x = 48,762

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.